Base | Representation |
---|---|
bin | 1100000010100… |
… | …10111100011000 |
3 | 21001001111010001 |
4 | 12001102330120 |
5 | 201324044112 |
6 | 14004502344 |
7 | 2334340324 |
oct | 601227430 |
9 | 231044101 |
10 | 101003032 |
11 | 52017089 |
12 | 299aa9b4 |
13 | 17c05210 |
14 | d5b2984 |
15 | 8d01c57 |
hex | 6052f18 |
101003032 has 32 divisors (see below), whose sum is σ = 206423280. Its totient is φ = 46051200.
The previous prime is 101003029. The next prime is 101003033. The reversal of 101003032 is 230300101.
It is a super-2 number, since 2×1010030322 = 20403224946386048, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101003033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 14482.
Almost surely, 2101003032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103211640).
101003032 is an abundant number, since it is smaller than the sum of its proper divisors (105420248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101003032 is a wasteful number, since it uses less digits than its factorization.
101003032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11803 (or 11799 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 101003032 is about 10050.0264676268. The cubic root of 101003032 is about 465.7056108172.
Adding to 101003032 its reverse (230300101), we get a palindrome (331303133).
The spelling of 101003032 in words is "one hundred one million, three thousand, thirty-two".
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